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3D Stress Analysis of Functionally Graded Plate under Static Loading Condition

Publication Date : 10/07/2015

Author(s) :

Mihir P. Mahajn , Sandeep S. Pendhari.

Conference Name :
4th International Conference on Recent Trends in Engineering & Technology(ICRTET-2015) July 2-4,2015 Organized by SNJB's KBJ College of Engineering,Chandwad,Nashik,Maharashtra,India

Abstract :

Three dimensional (3D) stress analysis is performed in this paper for functio graded (FG) plate using semi analytical approach developed by Kant elasticity is assumed to be varied according to power law through the thickness of plate. The mathematical model consists in de a set of coupled first-order ordinary differential equations (ODEs) in the plate thickness direction. Analytical solutions available in the literature is used to show the accuracy, simplicity and effectiveness of present semi analy Keywords- Functionally graded plates, Semi problem. Functionally Graded Materials (FGM) are a class of advanced material composites that have continuous and smooth variation of the advantages of a monotonous variation of volume fraction of constituent phases is the elimination of stress discontinuity that is often encountered in laminated composites and accordingly, reducing thermal stresses, residual stresses, stress concentrations and avoiding delamination-related problems. These materials are marked by a heterogeneous composition and are typically made of isotropic components such as metals and ceramics. Comprehensive work on bending analysis of functionally graded plate subjected to mechanical loading are presented by many researchers in literature. Saidi analytical solution for static analysis of FG annular sector plates by assuming tha edges of plate are simply supported and arbitrary boundary conditions are assumed along the circular edges. Hosseini-Hashemi vibration analysis of Levy’s type rectangular FG plate with d first-order shear deformation theory (FOSDT). A hybrid quasi-3D hyperbolic shear deformation theory for static and free vibration analysis of functionally graded plates is presented by Neves solution for bending and free vibration analysis for simply supported FGM plates based on new efficient and simple higher order shear and normal deformation theory which accounts for the stretching and shear deformation effects without al. [6] studied the two variable refined theory (RPT) for isotropic plates and (2006) for orthotropic plates. They extended the RPT for static response of FGM sandwich plates and also obtained closed form solutions for simply supported FGM sandwich plates using Navier solution. An analysis based on shear deformation theories for FGM plate are presented by several authors, Wu and Li [7] presented solution using a RMVT (TSDT). Wu et al. [8] used RMVT of Modern Trends in Engineering and Research -ISSN No.:2349-9745, Date: 2-4 July, 2015 s P. Mahajan1 and Sandeep S. Pendhari2 et al. defining a two-point boundary value problem (BVP) governed by analytical solution.

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